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Simplifying -8(k + 4) + -5k = 25 + k Reorder the terms: -8(4 + k) + -5k = 25 + k (4 * -8 + k * -8) + -5k = 25 + k (-32 + -8k) + -5k = 25 + k Combine like terms: -8k + -5k = -13k -32 + -13k = 25 + k Solving -32 + -13k = 25 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -32 + -13k + -1k = 25 + k + -1k Combine like terms: -13k + -1k = -14k -32 + -14k = 25 + k + -1k Combine like terms: k + -1k = 0 -32 + -14k = 25 + 0 -32 + -14k = 25 Add '32' to each side of the equation. -32 + 32 + -14k = 25 + 32 Combine like terms: -32 + 32 = 0 0 + -14k = 25 + 32 -14k = 25 + 32 Combine like terms: 25 + 32 = 57 -14k = 57 Divide each side by '-14'. k = -4.071428571 Simplifying k = -4.071428571
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